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On pronormal subgroups of finite soluble groups. (English) Zbl 0301.20011


MSC:

20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20D25 Special subgroups (Frattini, Fitting, etc.)
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References:

[1] R. W. Carter, Nilpotent self-normalizing subgroups and system normalizers. Proc. London Math. Soc. (3),12, 535-563 (1962). · Zbl 0106.24602 · doi:10.1112/plms/s3-12.1.535
[2] G. Chambers,p-normally embedded subgroups of finite soluble groups. J. Algebra16, 442-455 (1970). · Zbl 0232.20021 · doi:10.1016/0021-8693(70)90018-9
[3] B.Huppert, Endliche Gruppen I. Berlin 1967. · Zbl 0217.07201
[4] J. S. Rose, Finite soluble groups with pronormal system normalizers. Proc. London Math. Soc. (3),17, 447-469 (1967). · Zbl 0153.03602 · doi:10.1112/plms/s3-17.3.447
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